This work develops an integrator-leakage calibration technique for the switched-capacitor integrators in a delta-sigma modulator (DSM). Integrators that are realized with low-gain opamps are lossy. A DSM that uses lossy integrators exhibits a degraded signal-to-quantization-noise ratio. In the calibration of an integrator, its integration leakage is determined in the digital domain, and the leakage compensation is applied to the same integrator in the analog domain. The proposed scheme can be used to calibrate all of the integrators in a discrete-time DSM of any form. It can be performed in the background without interrupting the normal operation of the DSM.